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arXiv · 1307.6111

Variational Principle in Langevin Processes

Yuki Sughiyama·Masayuki Ohzeki
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Abstract

The recent work, Nemoto and Sasa [Phys. Rev. E, 83: 030105(R) (2011)], has shown that large deviations of the current characterizing a nonequilibrium system are obtained by observing the typical current for a modified system specified by a variational principle. In the present study, we will give a generalized version of the Nemoto-Sasa study by extracting a hidden mathematical structure from the fluctuation-response relation which is well-known in statistical mechanics. Here, the minimization of the Kullback-Leibler divergence plays an essential role.

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Yuki Sughiyama, Masayuki Ohzeki. 2013-07-23. Variational Principle in Langevin Processes. https://arxiv.org/abs/1307.6111

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